220774400 has 270 divisors, whose sum is σ = 694791468. Its totient is φ = 68812800.

The previous prime is 220774363. The next prime is 220774403. The reversal of 220774400 is 4477022.

It is a self number, because there is not a number n which added to its sum of digits gives 220774400.

It is not an unprimeable number, because it can be changed into a prime (220774403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20070395 + ... + 20070405.

Almost surely, 2^220774400 is an apocalyptic number.

220774400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347395734).

220774400 is an abundant number, since it is smaller than the sum of its proper divisors (474017068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220774400 is an equidigital number, since it uses as much as digits as its factorization.

220774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 220774400 is about 14858.4790607922. The cubic root of 220774400 is about 604.3885633332.

The spelling of 220774400 in words is "two hundred twenty million, seven hundred seventy-four thousand, four hundred".